Notice
This is not the latest version of this item. The latest version can be found at:https://dspace.mit.edu/handle/1721.1/135288.2
FOURIER TRANSFORM AS A TRIANGULAR MATRIX
dc.contributor.author | LUSZTIG, G | |
dc.date.accessioned | 2021-10-27T20:22:49Z | |
dc.date.available | 2021-10-27T20:22:49Z | |
dc.date.issued | 2020-10-03 | |
dc.identifier.uri | https://hdl.handle.net/1721.1/135288 | |
dc.description.abstract | ©2020 American Mathematical Society abstract. Let V be a finite dimensional vector space over the field with two elements with a given nondegenerate symplectic form. Let [V] be the vector space of complex valued functions on V, and let [V]z be the subgroup of [V] consisting of integer valued functions. We show that there exists a Z-basis of [V]z consisting of characteristic functions of certain isotropic subspaces of V and such that the matrix of the Fourier transform from [V] to [V] with respect to this basis is triangular. We show that this is a special case of a result which holds for any two-sided cell in a Weyl group. | |
dc.language.iso | en | |
dc.publisher | American Mathematical Society (AMS) | |
dc.relation.isversionof | 10.1090/ert/551 | |
dc.rights | Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. | |
dc.source | American Mathematical Society | |
dc.title | FOURIER TRANSFORM AS A TRIANGULAR MATRIX | |
dc.type | Article | |
dc.relation.journal | Representation Theory | |
dc.eprint.version | Final published version | |
dc.type.uri | http://purl.org/eprint/type/JournalArticle | |
eprint.status | http://purl.org/eprint/status/PeerReviewed | |
dc.date.updated | 2021-05-24T16:31:34Z | |
dspace.orderedauthors | LUSZTIG, G | |
dspace.date.submission | 2021-05-24T16:31:35Z | |
mit.journal.volume | 24 | |
mit.journal.issue | 16 | |
mit.license | PUBLISHER_POLICY | |
mit.metadata.status | Authority Work and Publication Information Needed |